Question

How do i solve this equation -4p+9=-5

Answer 1

Answer:

p = 7/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-4p + 9 = -5

Step 2: Solve for p

1. Subtract 9 on both sides:                     -4p = -14
2. Divide -4 on both sides:                       p = 7/2

Step 3: Check

Plug in p into the original equation to verify it's a solution.

1. Substitute in p:                    -4(7/2) + 9 = -5
2. Multiply:                               -14 + 9 = -5
3. Add:                                     -5 = -5

Here we see that -5 does indeed equal -5.

∴ p = 7/2 is the solution to the equation.

Answer 2

Answer:

$- 4p + 9 = - 5 \\ - 4p = - 14 \\ p = \frac{ - 14}{ - 4} \\ p = \frac{7}{2} \\ \boxed{ p = 3.5}$

3.5 is the right answer.